Skip to main content
SpringerLink
Log in

On the transition from cellular to wavelike patterns during solutal Marangoni convection

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

We study characteristic convection patterns emerging during the mass transfer of acetic acid from a glycerol-water layer to a superposed acetone layer by means of experiments and numerical simulations. The patterns form as a result of the stationary Marangoni instability. The initial phase of the pattern evolution is studied using high-resolution simulations. They show hierarchically ordered cellular structures which closely resemble experimental observations. In the later stages presently accessible to the experiments, the cells are locally replaced by relaxation oscillation waves. The emergence of these structures is favored when the experiment is performed in narrow cuvettes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C.V. Sternling, L.E. Scriven, AIChE J. 5, 514 (1959)

    Article  Google Scholar 

  2. H. Linde, K. Schwarzenberger, K. Eckert, in: Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics (Springer, 2013) (in press)

  3. A. Orell, J.W. Westwater, AIChE J. 8, 350 (1962)

    Article  Google Scholar 

  4. H. Linde, E. Schwarz, Z. Phys. Chem. 224, 331 (1963)

    Google Scholar 

  5. E. Schwarz, Ph.D. thesis, (HU Berlin, 1967)

  6. H. Linde, M.G. Velarde, A. Wierschem, W. Waldhelm, K. Loeschcke, A.Y. Rednikov, J. Colloid Interface Sci. 188, 16 (1997)

    Article  Google Scholar 

  7. H. Linde, M.G. Velarde, W. Waldhelm, K. Loeschcke, A. Wierschem, Ind. Eng. Chem. Res. 44, 1396 (2005)

    Article  Google Scholar 

  8. K. Eckert, M. Bestehorn, A. Thess, J. Fluid Mech. 356, 155 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. W. Schermuly, Ph.D. thesis, TU München, 1990

  10. M. Hampe, W. Schermuly, Berichte Bunseng. Phys. Chem. 93, 988 (1989)

    Article  Google Scholar 

  11. W. Schermuly, E. Blaß, Chem. Eng. Technol. 14, 253 (1991)

    Article  Google Scholar 

  12. W. Schermuly, E. Blaß, Chem. Eng. Technol. 14, 186 (1991)

    Article  Google Scholar 

  13. H. Linde, E. Schwarz, K. Gröger, Chem. Eng. Sci. 22, 823 (1967)

    Article  Google Scholar 

  14. E. Schwarz, Wärme- und Stoffübertragung 3, 131 (1970)

    Article  ADS  Google Scholar 

  15. A. Nepomnyashchy, I. Simanovskii, J. Legros, Interfacial Convection in Multilayer Systems (Springer, 2006)

  16. T. Boeck, A. Nepomnyashchy, I. Simanovskii , A. Golovin, L. Braverman, A. Thess, Phys. Fluids 14, 3899 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  17. T. Boeck, A. Nepomnyashchy, I. Simanovskii, Fluid Dyn. Mater. Proc. 4, 11 (2008)

    Google Scholar 

  18. W. Merzkirch, Flow visualization (Academic Press, 1987)

  19. H. Linde, P. Schwartz, H. Wilke, in: Dynamics and Instability of Fluid Interfaces (Springer, 1979)

  20. K. Schwarzenberger, K. Eckert, S. Odenbach, Chem. Eng. Sci. 68, 530 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, Technische Universität Dresden, 01062, Dresden, Germany

    Karin Schwarzenberger, Stefan Odenbach & Kerstin Eckert

  2. Institute of Thermodynamics and Fluid Mechanics, Technische Universität Ilmenau, PO Box 10 05 65, 98684, Ilmenau, Germany

    Thomas Köllner & Thomas Boeck

  3. Str. 201, Nr. 6, 13156, Berlin, Germany

    Hartmut Linde

Authors
  1. Karin Schwarzenberger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Thomas Köllner
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hartmut Linde
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Stefan Odenbach
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Thomas Boeck
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Kerstin Eckert
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Thomas Boeck or Kerstin Eckert.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schwarzenberger, K., Köllner, T., Linde, H. et al. On the transition from cellular to wavelike patterns during solutal Marangoni convection. Eur. Phys. J. Spec. Top. 219, 121–130 (2013). https://doi.org/10.1140/epjst/e2013-01787-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2013-01787-1

Keywords

Search

Navigation